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Finding the Third Proportional to 119,678.50 and 177,207

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Solution

The third proportional to 119,678.50 and 177,207 is: 262,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,678.50 : 177,207 = 177,207 : x
  2. Step 2: Convert to fraction form
    119,678.50/177,207 = 177,207/x
  3. Step 3: Cross multiply
    119,678.50x = 177,207 × 177,207
  4. Step 4: Simplify right side
    119,678.50x = 31,402,320,849
  5. Step 5: Solve for x
    x = 31,402,320,849/119,678.50
  6. Step 6: Final answer
    x = 262,388.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.